You are the manager of a project to improve a billing process at your firm. The table below contains the data you will need to conduct a cost analysis of the project. Indirect costs are $$$$1$ comma $0001,000$ per$$ week, and penalty costs are $$$$1$ comma $4001,400$ per week after week $12.$

$$

Activity

Immediate$$ Predecessor$($s$)$

Normal Time$($weeks$)$

Crash Time$($weeks$)$

Normal Cost$($$$)$

Crash Cost$($$$)$

A

long dash$$

$4$

$1$

$4$ comma $5004,500$

$8$ comma $0008,000$

B

long dash$$

$5$

$3$

$7$ comma $5007,500$

$10$ comma $50010,500$

C

A

$1$

$1$

$4$ comma $0004,000$

$4$ comma $0004,000$

D

B

$6$

$3$

$5$ comma $5005,500$

$12$ comma $00012,000$

E

$$B$,$ C

$7$

$6$

$4$ comma $0004,000$

$6$ comma $5006,500$

F

D

$7$

$6$

$4$ comma $0004,000$

$7$ comma $5007,500$

Part $2$

a$.$ What is the$$ minimum$-$cost schedule for this$$ project?

The$$ minimum$-$cost schedule is $1313$ weeks. $($Enter your response as an integer.$)$

Part $3$

b$.$ What is the difference in total project costs between the earliest completion time of the project using$$ "normal" times and the$$ minimum$-$cost schedule you derived in part$($a$)?$

The$$ minimum$-$cost schedule costs $$$enter your response here less than using the$$ "normal" times. $($Enter your response as an integer.$)$